Inverse Trig. Functionsand Differentiation

# Inverse Trig. Functionsand Differentiation - domains...

This preview shows pages 1–9. Sign up to view the full content.

Inverse Trig. Functions Section 5.6

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Inverse Trig. Functions None of the 6 basic trig. functions has an inverse unless you restrict their domains. Look at chart on pg. 377.
Function Domain Range y = arcsin x -1< x < 1 y = arccos x -1< x < 1 y = arctan x - < x < y= arccot x - < x < y = arcsec x y = arccsc 1 x 1 x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Inverse Properties f (f –1 (x)) = x and f –1 (f (x)) = x Remember that the trig. functions have inverses only in restricted

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: domains. Derivatives of Inverse Trig. Functions Let u be a differentiable function of x. [ ] 2 ' 1 arcsin u u u dx d-= [ ] 2 ' 1 arccos u u u dx d--= [ ] 2 ' 1 arctan u u u dx d + = [ ] 2 ' 1 cot u u u arc dx d +-= [ ] 1 sec 2 '-= u u u u arc dx d [ ] 1 csc 2 '--= u u u u arc dx d Joke Time Who stole the soap? The Robber Ducky! What do you call 2 spiders who just got married? Newlywebs...
View Full Document

## This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

### Page1 / 9

Inverse Trig. Functionsand Differentiation - domains...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online